Search results for "equation"

showing 10 items of 4219 documents

From magnetic to nonlinear optical switches in spin-crossover complexes

2013

ISI Document Delivery No.: 109TF Times Cited: 0 Cited Reference Count: 173 Lacroix, Pascal G. Malfant, Isabelle Real, Jose-Antonio Rodriguez, Vincent Wiley-v c h verlag gmbh Weinheim Si; Various attempts to combine magnetic and nonlinear optical (NLO) properties in a molecule are reviewed, with a special focus on the possibility of interplay between the magnetic component and the quadratic (proportional to E-2) NLO response. This multidisciplinary research leads to the idea of spin-crossover-induced (SCO-induced) NLO switching and is evaluated at the synthetic level, with insights provided by computational chemistry. The need for nontraditional experimental setups to record NLO properties i…

Computational chemistryNonlinear opticsroom-temperaturetransition-metal-complexesSolid-stateNanotechnology02 engineering and technology010402 general chemistry01 natural scienceselectrical-conductivityInorganic ChemistryNonlinear opticalQuadratic equationSpin crossoverbinuclear iron(iii) complexesMagnetic componentsMoleculenlo propertiesNuclear Experimentliquid-crystalCondensed matter physicsChemistryNonlinear optics021001 nanoscience & nanotechnologySpin crossoverMaterials science0104 chemical sciences2nd-harmonic generationHigh Energy Physics::Experimentschiff-base ligandsray crystal-structure0210 nano-technologyFocus (optics)hyper-rayleigh scatteringMolecular devices
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Optimal nonlinear damping control of second-order systems

2020

Novel nonlinear damping control is proposed for the second-order systems. The proportional output feedback is combined with the damping term which is quadratic to the output derivative and inverse to the set-point distance. The global stability, passivity property, and convergence time and accuracy are demonstrated. Also the control saturation case is explicitly analyzed. The suggested nonlinear damping is denoted as optimal since requiring no design additional parameters and ensuring a fast convergence, without transient overshoots for a non-saturated and one transient overshoot for a saturated control configuration.

Computer Networks and CommunicationsApplied MathematicsPassivityInverseSystems and Control (eess.SY)Electrical Engineering and Systems Science - Systems and ControlNonlinear systemVDP::Teknologi: 500Quadratic equationExponential stabilityControl and Systems EngineeringControl theorySignal ProcessingConvergence (routing)Overshoot (signal)FOS: Electrical engineering electronic engineering information engineeringTransient (oscillation)Mathematics
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On the stability of spline-collocation methods of multivalue type

1987

In this paper the general classV of spline-collocation methods for first order systems of ordinary differential equations is investigated. The methods can in part be regarded as so-called multivalue methods. This type contains the generalized singly-implicit methods treated by Butcher.

Computer Networks and CommunicationsDifferential equationApplied MathematicsMathematical analysisStability (learning theory)Type (model theory)Computational MathematicsSpline collocationCollocation methodOrdinary differential equationApplied mathematicsFundamental Resolution EquationMultiValueSoftwareMathematicsBIT
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A-stable spline-collocation methods of multivalue type

1989

In this paper the general classV of spline-collocation methods presented by Multhei is investigated. The methods ofV approximate solutions of first order initial value problems. ClassV contains as subclass the methods of so-called multivalue type, and in particular contains the generalized singly-implicit methods treated by Butcher.

Computer Networks and CommunicationsDifferential equationApplied MathematicsNumerical analysisMathematical analysisFirst orderComputational MathematicsSpline (mathematics)Spline collocationCollocation methodInitial value problemApplied mathematicsMultiValueSoftwareMathematicsBIT
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Explicit solutions of Riccati equations appearing in differential games

1990

Abstract In this paper an explicit closed form solution of Riccati differential matrix equations appearing in games theory is given.

Computer Science::Computer Science and Game TheoryApplied MathematicsMathematical analysisMathematicsofComputing_NUMERICALANALYSISLinear-quadratic regulatorAlgebraic Riccati equationMatrix (mathematics)ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONRiccati equationApplied mathematicsClosed-form expressionGame theoryDifferential (mathematics)MathematicsApplied Mathematics Letters
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TUG-OF-WAR, MARKET MANIPULATION, AND OPTION PRICING

2014

We develop an option pricing model based on a tug-of-war game involving the the issuer and holder of the option. This two-player zero-sum stochastic differential game is formulated in a multi-dimensional financial market and the agents try, respectively, to manipulate/control the drift and the volatility of the asset processes in order to minimize and maximize the expected discounted pay-off defined at the terminal date $T$. We prove that the game has a value and that the value function is the unique viscosity solution to a terminal value problem for a partial differential equation involving the non-linear and completely degenerate parabolic infinity Laplace operator.

Computer Science::Computer Science and Game TheoryEconomics and EconometricsPartial differential equationComputer scienceApplied Mathematics010102 general mathematicsMathematicsofComputing_NUMERICALANALYSISBlack–Scholes model01 natural sciences010101 applied mathematicsTerminal valueValuation of optionsAccountingInfinity LaplacianBellman equationDifferential game0101 mathematicsViscosity solutionMathematical economicsSocial Sciences (miscellaneous)FinanceMathematical Finance
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ORGANIZED LEARNING MODELS (PURSUER CONTROL OPTIMISATION)

1983

Abstract The concept of Organized Learning is defined, and some random models are presented. For Not Transferable Learning, it is necessary to start from an instantaneous learning; by a discrete way, we must form a stochastic model considering the probability of each path; with a continue aproximation, we can study the evolution of the internal state through to consider the relative and absolute probabilities, by means of differential equations systems. For Transferable Learning, the instantaneous learning give us directly the System evolution. So, the Algoritmes for the different models are compared.

Computer Science::Machine LearningStochastic modellingActive learning (machine learning)business.industryDifferential equationPath (graph theory)Control (management)Online machine learningPursuerArtificial intelligenceState (computer science)businessMathematics
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Uniqueness of positive multi-lump bound states of nonlinear Schr�dinger equations

2003

In this paper we are concerned with multi-lump bound states of the nonlinear Schrodinger equation

Computer Science::Roboticssymbols.namesakeNonlinear systemGeneral MathematicsMathematical analysisBound statesymbolsApplied mathematicsUniquenessNonlinear Sciences::Pattern Formation and SolitonsNonlinear Schrödinger equationSchrödinger equationMathematicsMathematische Zeitschrift
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Does Sedentary Behavior Predict Academic Performance in Adolescents or the Other Way Round? A Longitudinal Path Analysis.

2016

This study examined whether adolescents’ time spent on sedentary behaviors (academic, technological-based and social-based activities) was a better predictor of academic performance than the reverse. A cohort of 755 adolescents participated in a three-year period study. Structural Equation Modeling techniques were used to test plausible causal hypotheses. Four competing models were analyzed to determine which model best fitted the data. The Best Model was separately tested by gender. The Best Model showed that academic performance was a better predictor of sedentary behaviors than the other way round. It also indicated that students who obtained excellent academic results were more likely t…

Computer and Information SciencesSocial SciencesEquipmentlcsh:MedicineAdolescentsStructural equation modelingEducationDevelopmental psychologyFamilies03 medical and health sciences0302 clinical medicineSociology030225 pediatricsCovariateMedicine and Health SciencesPublic and Occupational Health030212 general & internal medicineYoung adultPath analysis (statistics)lcsh:ScienceChildrenSedentary lifestyleCommunication EquipmentBehaviorSchoolsMultidisciplinaryCovarianceComputerslcsh:RBiology and Life SciencesRandom VariablesSedentary behaviorProbability TheoryProsocial behaviorAge GroupsPeople and PlacesPhysical SciencesCohortEngineering and TechnologyPopulation Groupingslcsh:QCell PhonesBehavioral and Social Aspects of HealthPsychologyMathematicsResearch ArticlePLoS ONE
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A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading

2020

This contribution considers a virtual experiment on the vibrational response of rail and road bridges equipped with smart devices in the form of damping elements to mitigate vibrations. The internal damping of the bridge is considered a discontinuity that contain a dashpot. Exact complex eigenvalues and eigenfunctions are derived from a characteristic equation built as the determinant of a 4 x 4 matrix

Computer science020101 civil engineeringPoissonian Loading02 engineering and technologylcsh:TechnologyDashpot0201 civil engineeringDamper0203 mechanical engineeringTuned mass damperGeneral Materials ScienceEigenvalues and eigenvectorsCivil and Structural EngineeringGeneralized functionTuned Mass Damperlcsh:TMathematical analysisCharacteristic equationBuilding and ConstructionWhite noiseGeotechnical Engineering and Engineering GeologyComputer Science ApplicationsVibration020303 mechanical engineering & transportsEuler Bernoulli BeamEuler Bernoulli beam Poissonian loading Tuned mass damperSettore ICAR/08 - Scienza Delle CostruzioniInfrastructures
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